Write a division expression that is equivalent to 8/15 x (- 3/5)

Answer:

8 and 23

Step-by-step explanation:

let the 1st equation be i and 2nd be ii

now putting the value of x in eqn ii, we get

12x -4×(3x-1) = 12

12x-12x+4=12

x=12-4

x=8

again,

y=3×8-1

y=23

The probability that the next marble Kerry selects will be white is; D: 63%

The results of Kerry randomly selecting one marble from the bag out of 65 selections are;

Now, these numbers of marbles represents the amount of times the respective colors are gotten for every 65 selections. Thus;

P(next marble that Kerry selects will be white) = 41/65 * 100

P(next marble that Kerry selects will be white) ≈ 63%

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Answer:

0.19%

Step-by-step explanation:

To know what is the probability that a female who is less than 16 in involved in a driver fatality, we have to compare the cases of fatalities for females who are less than 16 years old, with the total cases of fatalities, commited by all kind of persons. Then, to know the proportion of the population of driver fatalities represented by female who are less than 16, we divide the amount of cases that happend under the characteristics mentioned (females <16) and the total amount of fatalities: [tex]\frac{100}{Total_{fatalities}} =\frac{100}{141+100+4970+2331+11009+....} =\frac{100}{52693}=0.0019=0.19\%[/tex], which is the probability that a randomly-selected driver fatality were commited by a females who is less than 16.

x = 1240-y can be used to model the situation where x is the amount earned in second week.

Step-by-step explanation:

Given,

Total amount earned = D =  $1240

Amount earned in first week = y = $480

Let,

x be the amount earned in second week.

Therefore,

Total amount earned = Amount earned in 1st week + 2nd week amount

D = x + y

1240 = x + y

Solving for x;

[tex]x= 1240- y [/tex]

x = 1240-y can be used to model the situation where x is the amount earned in second week.

Keywords: linear equation, subtraction

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Answer:

C) 6(4m-n)

Step-by-step explanation:

Because 6(4m-n)=24m-6n.

Answer:

x=1,2

Step-by-step explanation:

we show that 4x is <12

if x=1,,,4x=4*1=4

if x=2,,,4x=4*2=8

if x=3,,,4x= 4*3=12

so 1 &2 is right ans

Total amount of funds is $44.26 million.

Step-by-step explanation:

Given,

Donation received = $23.9 million

As it represents 54% of charity.

Let,

Total amount = x

Therefore,

54% of x = 23.9 million

[tex]\frac{54}{100}*x=23.9\\0.54x=23.9[/tex]

Dividing both sides by 0.54

[tex]\frac{0.54x}{0.54}=\frac{23.9}{0.54}\\x=\$44.26\ millions[/tex]

Total amount of funds is $44.26 million.

Keywords: percentage, division

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Answer:

Nancy needs to order 5 boxes of travoprost and 9 boxes of latanoprost for her pharmacy.

Step-by-step explanation:

Nancy counts 10 boxes of travoprost and the pharmacy needs 15 boxes to maintain a minimal level in the stock.

So, there is a need to order (15 - 10) = 5 boxes of travoprost.

Again, Nancy counts 3 boxes of latanoprost and the pharmacy needs to 12 boxes.  

So, there is a need to order (12 - 3) = 9 boxes of latanoprost.

Therefore, Nancy needs to order 5 boxes of travoprost and 9 boxes of latanoprost for her pharmacy. (Answer)

Final answer:

Nancy needs to order 5 boxes of travoprost and 9 boxes of latanoprost to fulfill the pharmacy's minimal stock requirement.

Explanation:

Nancy needs to order more boxes of eye medication to meet the pharmacy's minimal stock levels. For travoprost, the pharmacy requires 15 boxes but currently has only 10 boxes. So, Nancy needs to order:

15 boxes (required amount) - 10 boxes (current amount) = 5 boxes of travoprost.

For latanoprost, the pharmacy needs 12 boxes, but only has 3 boxes in stock, meaning Nancy needs to order:

12 boxes (required amount) - 3 boxes (current amount) = 9 boxes of latanoprost.

[tex](f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 5x^2+6\\g(x) = 7x[/tex]

So

[tex](f o g)(x) = 5(7x)^2+6\\= 5(49x^2)+6\\=245x^2+6\\(g o f)(x) = 7(5x^2+6)\\= 35x^2+42\\(fog(x))=245x^2+6f(g(-4)) = 245(-4)^2+6 \\=245(16)+6\\=3920+6\\=3926\\g(f(x)) = 35x^2+42\\g(f(5)) = 35(5)^2+42\\=35(25)+42\\=875+42\\=917[/tex]

Hence,

[tex](f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917[/tex]

Keywords: functions, Function composition

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Answer:

24.3

Step-by-step explanation:

Answer: 18 units

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

6 times 2 = 12

12+6=18

Answer:

p=1, q=5. (1, 5).

Step-by-step explanation:

8p+7q=43

2p-7=-q

------------------

q=-2p+7=7-2p

8p+7(7-2p)=43

8p+49-14p=43

8p-14p=43-49

-6p=-6

6p=6

p=6/6=1

2(1)-7=-q

2-7=-5=-q

q=5

Answer:

9

Step-by-step explanation:

The value of c is found by adding a (2) and b (7) together, which equals 9.

The question a + b = c is asking for the value of c when a is 2 and b is 7. To find c, we simply add the values of a and b together. In mathematics, this is known as solving for the unknown variable.

In this case:

a + b = c
2 + 7 = c
c = 9

Therefore, the value of c when a is 2 and b is 7 is 9.

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Answer:

B

Step-by-step explanation

Answer:

Option B. a = −5, b = −9, c = 12

Step-by-step explanation:

The general form of the quadratic equation is as following

ax² + bx + c = 0

Where a, b and c are constants.

And the given equation is −5x2 − 9x + 12 = 0

Comparing the given equation to the general form

  ax² + bx + c = 0

−5x2 − 9x + 12 = 0

So, a = -5  , b = -9  and   c = 12

Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation.

So, the answer is option B: a = −5, b = −9, c = 12

Answer: the vertical line with the equation "x=-2"

Step-by-step explanation:

if you are perpendicular to the x axis, you will be looking for vertical lines that pass through (-2,-4)

the vertical line with the equation "x=-2" will pass though the point because (-2,-4) has an x coordinate of -2

Answer:

361 sq, inches.

Step-by-step explanation:

Let us assume that the dimensions of the square picture are P in × P in.

So, the area of the picture alone is, A = P²

Now, if the photo has a frame of 1 inch wide, then the dimensions of the photo with frame are (P + 2) in × (P + 2) in.

So, the area of the photo with frame is A' = (P + 2)(P + 2) = (P + 2)²

Now, the area of the frame alone is 80 sq. inches.

Hence, A' - A = 80

⇒ (P + 2)² - P² = 80

⇒ 4P + 4 = 80

⇒ 4P = 76

⇒ P = 19 inches.

So, the area of the picture is = 19² = 361 sq. inches. (Answer)

361 sq, inches.

Step-by-step explanation:

Answer:

W

Step-by-step explanation:

If its the graphs I got then yeah

The Graph that represents the inverse of function f is attached below.

Function is a type of relation, or rule, that maps one input to specific single output.

We have been given a function of x as; f(x) = 2x - 2

If function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

y = 2x - 2

x = 2y - 2

x + 2 = 2y

y = (x + 2)/2

It simply means, inverse of 'f' is undo operator, that takes back the effect of 'f' function here.

To Graph the inverse, Simply use a graphing calculator and the correct graph is attached below.

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Answer:

ab² - b = b(ab -1)

Step-by-step explanation:

The variable b is common to both terms here.  Thus,

ab² - b = b(ab -1)

Answer:

The graph you posted was Incorrect! An easy way you can check is like this:

Insert the function "f(x) = (x - 1)(x + 3)(x – 3)" into desmos, you get this which should perfectly match the function shown.

The graph that represents the function is attached to the answer.

The graph is a mathematical representation of the relation between two objects.

It helps in determining the function that fits best for the data obtained.

A function is a mathematical statement that defines a relationship between a dependent and an independent variable.

A function always has a defined range and domain, domain is all the value a function can have as input and range is all the value that a function can give as output.

The function is f(x) = (x-1)(x+3)(x-3)

The graph for the function will be determined by plotting,

The graph is plotted and attached with the answer.

The parent function is a cubic function, which is also plotted along with the function graph.

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Answer:

(0,2)

Step-by-step explanation:

y-intercept: when x = 0

-3(0) + 12y = 24

12y = 24

y = 2

Answer:

Explanation:

The figure attached represents the situation.

The triangle on the left and the triangle on the right are similar triangles because they are right triangles and the marked angles are congruent.

The distance between the mirror and the basketball goal is represented by the unknown x.

By similarity:

Solving:

Thus, the mirror is 20/3 of feet, which is about 6.7 feet, from the basketball goal.

Answer:

473 turnips

Step-by-step explanation:

well if its 1 to 1 that means how ever meany you have of one you will have the same exact amount of the other food

473x1 = 473x1

Final answer:

To find the number of turnips, set up a proportion using the given ratio and cross multiply to solve for the number of turnips.

Explanation:

To find the number of turnips, we can set up a proportion using the given ratio:
Number of potatoes / Number of turnips = Ratio of potatoes to turnips.
Since the ratio of potatoes to turnips is 1:1, the proportion will be:
473 / Number of turnips = 1 / 1.

To solve for the number of turnips, cross multiply:
473 * 1 = Number of turnips * 1.
Number of turnips = 473.

Therefore, there are 473 turnips in this scenario.

Answer:

The money receive by Paul is  [tex]\pounds 40[/tex].

Step-by-step explanation:

Given as :

The ratio of share of money among three people as

Stephen : Paul : Bridget = 3 : 4 : 2

The total money receive by Stephen and Bridget = [tex]\pounds 50[/tex]

Let The money receive by Stephen = 3 x

Let The money receive by Paul = 4 x

Let The money receive by Bridget = 2 x

Now, According to question

The total money receive by Stephen and Bridget = [tex]\pounds 50[/tex]

I.e 3 x + 2 x =  [tex]\pounds 50[/tex]

i.e 5 x =  [tex]\pounds 50[/tex]

∴    x = [tex]\frac{\pounds 50}{5}[/tex]  

    x =  [tex]\pounds 10[/tex]

So, The money receive by Stephen = 3 × [tex]\pounds 10[/tex] = [tex]\pounds 30[/tex]

Let The money receive by Paul = 4 × [tex]\pounds 10[/tex] = [tex]\pounds 40[/tex]

Let The money receive by Bridget = 2 × [tex]\pounds 10[/tex] = [tex]\pounds 20[/tex]

Hence The money receive by Paul is  [tex]\pounds 40[/tex]. Answer

Answer

______________

The same solution of the given system of equations will be same as the solution of below system of equations;

⇒ 8x + 4y = −4

17x + 2y = −28

Option A is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The System of equation is,

6x + 2y = - 6   ..(i)

3x - 4y = - 18   ..(ii)

Now,

Solve the given system of equation as;

The System of equation is,

6x + 2y = - 6   ..(i)

3x - 4y = - 18   ..(ii)

By equation (i);

6x + 2y = - 6  

2(3x + y) = - 6

3x + y = - 3  ..(iii)

Subtract equation (ii) from (iii), we get;

3x - 4y - (3x + y) = - 18 - (-3)

3x - 4y - 3x - y = - 18 + 3

- 5y = - 15

y = 3

And, By equation (i), we get;

6x + 2y = - 6  

6x + 2 × 3 = - 6

6x + 6 = - 6

6x = - 6 - 6

6x = - 12

x = - 2

Thus, The solution of given system of equation are;

x = - 2 and y = 3

Now,

Substitute the value of x and y in all the given options and find the same solution of given system of equation as;

A: 8x + 4y = −4

17x + 2y = −28

Substitute the value of x = - 2 and y = 3;

8x + 4y = −4

8 × - 2 + 4 × 3 = - 4

- 16 + 12 = - 4

- 4 = - 4

17x + 2y = −28

17 × - 2 + 2 × 3 = - 28

- 34 + 6 = - 28

- 28 = - 28

Thus, This system of equation has same solution.

Therefore, The same solution of the given system of equations will be same as the solution of below system of equations;

⇒ 8x + 4y = −4

17x + 2y = −28

Option A is true.

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Answer:

1; solution is not extraneous

Step-by-step explanation:

the value 3=3 is true, meaning its not extraneous and also I got it correct on the test

The value of x is 1, and the solution is not extraneous.

Given that,

Equation; [tex]\sqrt{3x+6 } = 3[/tex]

We have to determine,

The value of x and identify if it is an extraneous solution.

According to the question,

Equation; [tex]\sqrt{3x+6 } = 3[/tex]

To find the value of the x following all the steps given below.

Squaring both the sides to solve the equation,

[tex]\sqrt{3x+6 } = 3\\\\(\sqrt{3x + 6 })^2= 3^2\\\\3x + 6 = 9\\\\3x = 9-6\\\\3x = 3\\\\x = \dfrac{1}{1}\\\\x = 1[/tex]

An extraneous solution is a root of a transformed equation that is not a root of the original equation.

Therefore, The solution is not extraneous.

Hence, The value of x is 1, and the solution is not extraneous.

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Answer:

Its isosceles, so the the 2 sides other than st are equal. 2x+6=3x-6

Moves to one side. 12=x

x=12

Step-by-step explanation:

x=12

Step-by-step explanation:

You know that angles T and S are equal, meaning the lengths of the lines TV and SV are also equal. That means 2x+6=3x-6. You transfer the xs and get 6=x-6. You undo the negative 6, receiving 12=x.

Answer:

The ratio of consonants to is 4:3. 4 consonants and 3 wolves.